In ref. [1]} (cf. Theorem 5.1),
we have proved the
\(j\) -th components \(V_j, W_j\)  of vectors \(\textbf {V}, \textbf {W}\) 
are explicitly written as
\(V_j=&-2i c_j(n) ,\\W_j =&2i(-1)^{n+1}\prod _{m=0}^{2n+1}E_m^{-1/2}\sum _{s=1}^{r_-}\tilde{c}_{r-s,-}\sum _{\ell =1}^{s}c_j(\ell )\hat{c}_{s-\ell }(\underline{E}^{-1})\nonumber \\&-2i\sum _{s=1}^{r_+}\tilde{c}_{r_+-s,+}\sum _{\ell =1}^{n}c_j(\ell )\hat{c}_{\ell +s-n-1}(\underline{E})\) 
